Almost minimum diameter orientations of semicomplete multipartite and extended digraphs

被引:6
|
作者
Gutin, G [1 ]
Koh, KM
Tay, EG
Yeo, A
机构
[1] Royal Holloway Univ London, Dept Comp Sci, Egham TW20 0EX, Surrey, England
[2] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore
[3] Nanyang Technol Univ, Math & Math Educ Grp, Singapore 259756, Singapore
关键词
D O I
10.1007/s003730200036
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
An orientation of a digraph D is a spanning subdigraph of D obtained from D by deleting exactly one arc between x and y for every pair x not equal y of vertices Such that both xy and yx are in D. Almost minimum diameter orientations of certain semicomplete multipartite and extended digraphs are considered, several generalizations of results on orientations of undirected graphs are obtained, some conjectures are posed.
引用
收藏
页码:499 / 506
页数:8
相关论文
共 50 条
  • [31] Solution of a conjecture of Volkmann on the number of vertices in longest paths and cycles of strong semicomplete multipartite digraphs
    Gutin, G
    Yeo, A
    GRAPHS AND COMBINATORICS, 2001, 17 (03) : 473 - 477
  • [32] Solution of a Conjecture of Volkmann on the Number of Vertices in Longest Paths and Cycles of Strong Semicomplete Multipartite Digraphs
    Gregory Gutin
    Anders Yeo
    Graphs and Combinatorics, 2001, 17 : 473 - 477
  • [33] Enumeration of almost Moore digraphs of diameter two
    Gimbert, J
    DISCRETE MATHEMATICS, 2001, 231 (1-3) : 177 - 190
  • [34] Nonexistence of almost Moore digraphs of diameter four
    Conde, J.
    Gimbert, J.
    Gonzalez, J.
    Miret, J. M.
    Moreno, R.
    ELECTRONIC JOURNAL OF COMBINATORICS, 2013, 20 (01):
  • [35] Non existence of almost Moore digraphs of diameter three
    Conde, J.
    Gimbert, J.
    Gonzalez, J.
    Miret, J. M.
    Moreno, R.
    ELECTRONIC JOURNAL OF COMBINATORICS, 2008, 15 (01):
  • [36] A Sub-exponential FPT Algorithm and a Polynomial Kernel for Minimum Directed Bisection on Semicomplete Digraphs
    Madathil, Jayakrishnan
    Sharma, Roohani
    Zehavi, Meirav
    ALGORITHMICA, 2021, 83 (06) : 1861 - 1884
  • [37] Minimum Orders of Eulerian Oriented Digraphs with Given Diameter
    Rho, Yoomi
    Kim, Byeong Moon
    Hwang, Woonjae
    Song, Byung Chul
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2014, 30 (07) : 1125 - 1132
  • [38] Minimum Orders of Eulerian Oriented Digraphs with Given Diameter
    Yoomi RHO
    Byeong Moon KIM
    Woonjae HWANG
    Byung Chul SONG
    Acta Mathematica Sinica,English Series, 2014, 30 (07) : 1125 - 1132
  • [39] A sub-exponential FPT algorithm and a polynomial kernel for minimum directed bisection on semicomplete digraphs
    Madathil, Jayakrishnan
    Sharma, Roohani
    Zehavi, Meirav
    Leibniz International Proceedings in Informatics, LIPIcs, 2019, 138
  • [40] MINIMUM DIAMETER OF DIREGULAR DIGRAPHS OF DEGREE-2
    MILLER, M
    FRIS, I
    COMPUTER JOURNAL, 1988, 31 (01): : 71 - 75